On the absorption probabilities and absorption times of finite homogeneous birth-death processes.
Biometrics
; 32(4): 745-52, 1976 Dec.
Article
em En
| MEDLINE
| ID: mdl-1009223
ABSTRACT
This paper provides some formulas for the absorption probabilities, the mean absorption times and the variances of first absorption times in finite homogeneous absorbing birth-death processes. The results are then applied to a genetic model of Moran [1958] for computing the absorption probability densities, the mean absorption times and the variances of first absorption times. Specifically, it is shown that the probability distribution of the first absorption time is the matrix analog of exponential distribution or a mixture of exponential distributions if the transition matrix is diagonable.
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Temas:
ECOS
/
Financiamentos_gastos
Bases de dados:
MEDLINE
Assunto principal:
Probabilidade
/
Genética Populacional
/
Modelos Biológicos
Tipo de estudo:
Health_economic_evaluation
Idioma:
En
Revista:
Biometrics
Ano de publicação:
1976
Tipo de documento:
Article